Question

Please explain as well!​

Answer 1

• The height of the other book is 2 3/4 inches.

Explanation:

From the information,we get:

Two stacks of books together are = 7 1/2 inches tall.

One stack is given,that is = 4 3/4 inches.

To Find:

• The height of the other.

Solution:

Let us assume that the other height of the book be x.

Then the equation will be:

`4\cfrac{3}{4} + x = 7\cfrac{1}{2}`

• Solve for x to get the other book's height.

Convert the mixed fractions to fractions:

`\implies \: \cfrac{19}{4 } + x = \cfrac{15}{2}`

Subtract 19/4 from both sides:

`\implies \: x + \cfrac{19}{4} - \cfrac{19}{4} = \cfrac{15}{2} - \cfrac{19}{4}`

`\implies \: x = \cfrac{11}{4} =\boxed{ 2 \cfrac{3}{4} \rm \: inches}`

Hence, we can conclude that:

The height of the other book is 2 3/4 inches.